precalculus question

Question

solve the following polynomial equation algebraically. Answer in exact form. 6x^3 + 7x^2 - 5x = 0

Answer 1

Given: 6x^3 + 7x^2 - 5x = 0

Find: x in exact form

Solution:

6x^3 + 7x^2 - 5x = 0

x[ 6x^2 + 7x - 5 ] = 0

x(3x + 5)(2x - 1) = 0

So, x = 0, -5/3, 1/2